# Is the ordered pair (4,1) a solution of the system of linear equations -x+y=-3 and x+3y=6?

Dec 19, 2017

$\text{no}$

#### Explanation:

$\text{to determine if "(4,1)" is a solution substitute}$
$\text{x = 4 and y=1 into the system of equations and }$
$\text{if they are both satisfied then it is a solution}$

•color(white)(x)x+y=-3

$\left(4 , 1\right) \to 4 + 1 = 5 \ne - 3$

•color(white)(x)x+3y=6

$\left(4 , 1\right) \to 4 + 3 = 7 \ne 6$

$\Rightarrow \left(4 , 1\right) \text{ is not a solution}$